19 ideas
10482 | The logic of ZF is classical first-order predicate logic with identity [Boolos] |
10492 | A few axioms of set theory 'force themselves on us', but most of them don't [Boolos] |
10485 | Naïve sets are inconsistent: there is no set for things that do not belong to themselves [Boolos] |
10484 | The iterative conception says sets are formed at stages; some are 'earlier', and must be formed first [Boolos] |
10491 | Infinite natural numbers is as obvious as infinite sentences in English [Boolos] |
10483 | Mathematics and science do not require very high orders of infinity [Boolos] |
10490 | Mathematics isn't surprising, given that we experience many objects as abstract [Boolos] |
10488 | It is lunacy to think we only see ink-marks, and not word-types [Boolos] |
10487 | I am a fan of abstract objects, and confident of their existence [Boolos] |
10489 | We deal with abstract objects all the time: software, poems, mistakes, triangles.. [Boolos] |
7861 | Libet says the processes initiated in the cortex can still be consciously changed [Libet, by Papineau] |
6660 | Libet found conscious choice 0.2 secs before movement, well after unconscious 'readiness potential' [Libet, by Lowe] |
21103 | Moral questions can only be decided by common opinion [Hume] |
21099 | People must have agreed to authority, because they are naturally equal, prior to education [Hume] |
21100 | The idea that society rests on consent or promises undermines obedience [Hume] |
20495 | We no more give 'tacit assent' to the state than a passenger carried on board a ship while asleep [Hume] |
21101 | The people would be amazed to learn that government arises from their consent [Hume] |
6703 | Poor people lack the knowledge or wealth to move to a different state [Hume] |
21102 | We all know that the history of property is founded on injustices [Hume] |